Finding the Fourth Proportional to 1,142.76, 1,577.71 and 744.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.76 : 1,577.71 = 744.56 : x
2. Step 2: Convert to fraction form
   1,142.76/1,577.71 = 744.56/x
3. Step 3: Cross multiply
   1,142.76x = 1,577.71 × 744.56
4. Step 4: Simplify right side
   1,142.76x = 1,174,699.76
5. Step 5: Solve for x
   x = 1,174,699.76/1,142.76
6. Step 6: Final answer
   x = 1,027.95